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Simplifying 0 = 2(3a + 2b) + 4(4a + 2b) 0 = (3a * 2 + 2b * 2) + 4(4a + 2b) 0 = (6a + 4b) + 4(4a + 2b) 0 = 6a + 4b + (4a * 4 + 2b * 4) 0 = 6a + 4b + (16a + 8b) Reorder the terms: 0 = 6a + 16a + 4b + 8b Combine like terms: 6a + 16a = 22a 0 = 22a + 4b + 8b Combine like terms: 4b + 8b = 12b 0 = 22a + 12b Solving 0 = 22a + 12b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 0 + -22a = 22a + -22a + 12b Remove the zero: -22a = 22a + -22a + 12b Combine like terms: 22a + -22a = 0 -22a = 0 + 12b -22a = 12b Divide each side by '-22'. a = -0.5454545455b Simplifying a = -0.5454545455b
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